Accession Number:

AD0844151

Title:

Riemannian Geometry as a Field Over Another Geometry.

Descriptive Note:

Master's thesis,

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

Report Date:

1968-09-01

Pagination or Media Count:

42.0

Abstract:

The basic tensors of a Riemannian geometry are found in terms of tensor components by considering the geometry as a field over another arbitrary Riemannian geometry. The approach exhibits symmetries not previously noted. In particular the Riemann tensor of a geometry is found to decompose into a sum of tensors, each with the full symmetry of a Riemann tensor, and each dependent upon one order of derivative of the metric tensor. Further work to explore the potential value of the approach to general relativity is proposed. Author

Subject Categories:

  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE